The notion of conservative systems is introduced, and the relationship between the force and potential energy in conservative systems is discussed.

published:28 Sep 2014

views:5044

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Instantaneous Rates of Change Using Def'n of Derivative. In this video, I look at the instantaneous rate of production using the limit definition of a derivative.

Lenz's Law - seeing that the magnetic field induced by a current induced by a change in magnetic flux (Faraday's Law) counteracts the change in flux.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

published:09 Oct 2015

views:332276

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of f(x)=x^2.
The derivative:
dy/dx=(lim_(Δx→0)⁡〖Δy/Δx〗⁡) or (lim_(Δx→0)⁡〖(f(x+Δx)−f(x))/Δx〗⁡)

published:15 Jan 2018

views:24

Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-KineticEnergy Theorem. Want Lecture Notes? http://www.flippingphysics.com/wnet-ke.html This is an AP Physics 1 topic.
ContentTimes:
0:21 The integral definition of work
1:02 Net Work
1:53 Substituting in for acceleration
2:40 Dealing with dv/dt
3:26 Changing the limits
3:50 Substituting in velocity
4:32 Taking the integral
4:56 Kinetic Energy!
5:16 The Theorem
5:42 Other energy equations
6:46 When can we use this equation?
NextVideo: Work-Energy Theorem Problem by Billy
http://www.flippingphysics.com/wnet-billy.html
Multilingual? Please help translate Flipping Physics videos!
http://www.flippingphysics.com/translate.html
Previous Video: Work due to Friction equals Change in Mechanical Energy Problem by Billy
http://www.flippingphysics.com/wf-problem-billy.html
1¢/minute: http://www.flippingphysics.com/give.html

published:17 Feb 2016

views:12392

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Potential for a ConservativeVector Field.
In this video, I find the potential for a conservative vector field.

published:26 Dec 2009

views:279472

A great video of the US Military putting on a show of force in military exercise.The United StatesArmed Forces are the military forces of the United States.
CAMP CASEY, South Korea – For more than a month, Soldiers from the 210th Field Artillery Brigade, 2nd Infantry Division/ROK-U.S. Combined Division, trained alongside their joint and combined partners for their debut participation in the Republic of Korea Army’s IntegratedFirepower demonstrations Aug. 7-28 near Pocheon, South Korea.
The massive capability demonstrations were conducted for public viewing five times throughout the month and included a variety of assets from both the U.S. Army and Air Force.
In addition to the tanks, helicopters and jets previously seen in the 2012 event, this year’s lineup showcased the brigade’s Multiple Launch Rocket Systems and Paladin self-propelled howitzers.
“This is a unique opportunity for us because it allows us to practice with all elements of the Army alliance here in Korea,” said Maj. Elijah Ward, operations officer for 6th Battalion, 37th Field Artillery Regiment, whose battalion specializes in the MLRS platform. “This is an exercise where we can see what other units get to do, and we get to see how they all fit in the big picture.”
Due to its unparalleled lethality, versatility and range, the U.S. Army has used the MLRS for nearly 27 years. The 210th Field Artillery Brigade maximizes its lethality with three dedicated MRLS battalions, all of which participated in the event.
Success of the MLRS platform, in addition to working alongside their U.S. counterparts, has allowed the ROK Army to find the strategic value in the weapon’s utility and decided to use them for fire and counterfire operations within its own formations.
“The MLRS is currently one of the strongest field artillery weaponry system,” said Lt. Col. Tae-Hun Kim, the battalion commander of 5000th Battalion, 5th Field ArtilleryBrigade, 6th Division. “It is a vital part of the defense of the Korean Peninsula.”
“Even though it is our first time being in a part of the demonstration, but it is an honor to show our strength and procedures to the citizens of Republic of Korea,” added Kim. “Furthermore, participating this event with our sibling units made this exercise much more meaningful.”
During the demonstrations, three launchers from each country’s Army shared tactical positions and targets. The ROK command post then received "call for fire" signal, which is then transferred to six MLRS crews simultaneously to fire at the same time, said Ward.
Having successfully completed such an alliance-strengthening event with the ROK Army and spending every day for five weeks in the same compound with their ROK allies, the brigade’s crew members were able to establish a positive rapport and trust among their counterparts.
In addition to reinforcing the mission essential skills of each Soldier, the brigade’s Soldiers educated themselves on the culture of the respective armies: How they think, operate and execute their missions.
“There is something different when the Soldiers work and live next to each other,” said Ward. “It is this partnership that makes us strong. This exercise allows us to see that, we are partners in alliance.”
In addition to firing the first U.S. rockets from the ROK range, troops also encountered a few more firsts, including the integration of live-fire exercises with multiple types of units among combined and joint partners.
“In an artillery brigade, you only get to see artillery units,” said Ward. “We have learned a lot about how we use MLRS when we have troops maneuvering in proximal range and we have airplanes up in the sky.”
Through maintaining and developing positive relationship between both field artillery units and their combined-joint partners, the alliance will be able to summon coordinated artillery fire power at any time of need.
“I think the biggest thing here is establishing the relationship between ROK 5000th Battalion, and other maneuver units out here with our assets,” said Capt. Jason Yu, commander of Battery A, 6th Battalion, 37th FA Regiment, 210th FA Brigade, 2nd Infantry Division. “Seeing how it would look like in a coordinated scheme of maneuver. Learning about each other’s capabilities and movements out in the battlefield is the key component we learned so far.”
“This exercise really demonstrates our capabilities in case of provocations from the north,” added Yu, a Chappaqua, New York, native. “It really shows the great firepower we have in defense of South Korea and how we operate together in the real environment.”
VideoDescriptionCredit: Pfc. Jaewoo Oh
Video Credits: Staff Sgt.BrandonOwen, Sgt. 1st Class Lawree Washingtonn, Pfc. Jun Sung Lee and Sgt. Elliot Valdez
DerivativeWorks ArmedForcesUpdate
Thumbnail Credit: Sgt. Elliot Valdez Modified by ArmedForcesUpdate

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of the function y=3/(x^2+1) by the delta method.
(Difficulty: Hard)
The derivative:
Slope of tangent along point p on the curve⇒m=(y_2−y_1)/(x_2−x_1 )=Δy/Δx=dy/dx=(lim_(Δx→0)⁡〖((y+Δy)−y)/Δx〗⁡)
Step 1: Substitute x+Δx into x, and y+Δy into y of the function.
Step 2: Model the limit expression.
Step 3: Simplify and take the limit, Δx→0.

Derivative

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time is advanced.

The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value. For this reason, the derivative is often described as the "instantaneous rate of change", the ratio of the instantaneous change in the dependent variable to that of the independent variable.

Force

In physics, a force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity (which includes to begin moving from a state of rest), i.e., to accelerate. Force can also be described by intuitive concepts such as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.

The original form of Newton's second law states that the net force acting upon an object is equal to the rate at which its momentum changes with time. If the mass of the object is constant, this law implies that the acceleration of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional to the mass of the object

Related concepts to force include: thrust, which increases the velocity of an object; drag, which decreases the velocity of an object; and torque, which produces changes in rotational speed of an object. In an extended body, each part usually applies forces on the adjacent parts; the distribution of such forces through the body is the so-called mechanical stress. Pressure is a simple type of stress. Stress usually causes deformation of solid materials, or flow in fluids.

Khan Academy

Khan Academy is a non-profit educational organization created in 2006 by educator Salman Khan with the aim of providing a free, world-class education for anyone, anywhere. The organization produces short lectures in the form of YouTube videos. In addition to micro lectures, the organization's website features practice exercises and tools for educators. All resources are available for free to anyone around the world. The main language of the website is English, but the content is also available in other languages.

In late 2004, Khan began tutoring his cousin Nadia who needed help with math using Yahoo!'s Doodle notepad.When other relatives and friends sought similar help, he decided that it would be more practical to distribute the tutorials on YouTube. The videos' popularity and the testimonials of appreciative students prompted Khan to quit his job in finance as a hedge fund analyst at Connective Capital Management in 2009, and focus on the tutorials (then released under the moniker "Khan Academy") full-time.

Field artillery

Field artillery is a category of mobile artillery used to support armies in the field. These weapons are specialized for mobility, tactical proficiency, long range, short range and extremely long range target engagement.

Until the early 20th century, field artillery were also known as foot artillery, for while the guns were pulled by beasts of burden (often horses), the gun crews would usually march on foot, thus providing fire support mainly to the infantry. This was in contrast to horse artillery, whose emphasis on speed while supporting cavalry units necessitated lighter guns and crews riding on horseback.

Whereas horse artillery has been superseded by self-propelled artillery, field artillery has survived to this day both in name and mission, albeit with motor vehicles towing the guns, carrying the crews and transporting the ammunition. Modern artillery has also advanced to rapidly deployable wheeled and tracked vehicles and precision delivered munitions capable of striking targets at ranges between 15 and 300 kilometers.

A Thousand Plateaus

A Thousand Plateaus: Capitalism and Schizophrenia (French:Mille plateaux) is a 1980 philosophy book by French authors Gilles Deleuze and Félix Guattari, respectively a philosopher and a psychoanalyst. A Thousand Plateaus is written in a non-linear fashion, and the reader is invited to move among plateaux in any order. It is the second volume of Capitalism and Schizophrenia, and the successor to Anti-Oedipus (1972). Before the full English translation by social theorist Brian Massumi appeared in 1988, the twelfth "plateau" was published separately as Nomadology: The War Machine (New York: Semiotext(e), 1986).

Relationship Between Force and Potential Energy

The notion of conservative systems is introduced, and the relationship between the force and potential energy in conservative systems is discussed.

6:11

Finding Instantaneous Rates of Change Using Def'n of Derivative

Finding Instantaneous Rates of Change Using Def'n of Derivative

Finding Instantaneous Rates of Change Using Def'n of Derivative

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Instantaneous Rates of Change Using Def'n of Derivative. In this video, I look at the instantaneous rate of production using the limit definition of a derivative.

Lenz's Law - seeing that the magnetic field induced by a current induced by a change in magnetic flux (Faraday's Law) counteracts the change in flux.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

4:04

📚 How to find the derivative using first principles

📚 How to find the derivative using first principles

📚 How to find the derivative using first principles

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of f(x)=x^2.
The derivative:
dy/dx=(lim_(Δx→0)⁡〖Δy/Δx〗⁡) or (lim_(Δx→0)⁡〖(f(x+Δx)−f(x))/Δx〗⁡)

7:54

Deriving the Work-Energy Theorem using Calculus

Deriving the Work-Energy Theorem using Calculus

Deriving the Work-Energy Theorem using Calculus

Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-KineticEnergy Theorem. Want Lecture Notes? http://www.flippingphysics.com/wnet-ke.html This is an AP Physics 1 topic.
ContentTimes:
0:21 The integral definition of work
1:02 Net Work
1:53 Substituting in for acceleration
2:40 Dealing with dv/dt
3:26 Changing the limits
3:50 Substituting in velocity
4:32 Taking the integral
4:56 Kinetic Energy!
5:16 The Theorem
5:42 Other energy equations
6:46 When can we use this equation?
NextVideo: Work-Energy Theorem Problem by Billy
http://www.flippingphysics.com/wnet-billy.html
Multilingual? Please help translate Flipping Physics videos!
http://www.flippingphysics.com/translate.html
Previous Video: Work due to Friction equals Change in Mechanical Energy Problem by Billy
http://www.flippingphysics.com/wf-problem-billy.html
1¢/minute: http://www.flippingphysics.com/give.html

10:07

Finding a Potential for a Conservative Vector Field

Finding a Potential for a Conservative Vector Field

Finding a Potential for a Conservative Vector Field

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Potential for a ConservativeVector Field.
In this video, I find the potential for a conservative vector field.

18:27

US Military puts on a SHOW OF FORCE in military exercise

US Military puts on a SHOW OF FORCE in military exercise

US Military puts on a SHOW OF FORCE in military exercise

A great video of the US Military putting on a show of force in military exercise.The United StatesArmed Forces are the military forces of the United States.
CAMP CASEY, South Korea – For more than a month, Soldiers from the 210th Field Artillery Brigade, 2nd Infantry Division/ROK-U.S. Combined Division, trained alongside their joint and combined partners for their debut participation in the Republic of Korea Army’s IntegratedFirepower demonstrations Aug. 7-28 near Pocheon, South Korea.
The massive capability demonstrations were conducted for public viewing five times throughout the month and included a variety of assets from both the U.S. Army and Air Force.
In addition to the tanks, helicopters and jets previously seen in the 2012 event, this year’s lineup showcased the brigade’s Multiple Launch Rocket Systems and Paladin self-propelled howitzers.
“This is a unique opportunity for us because it allows us to practice with all elements of the Army alliance here in Korea,” said Maj. Elijah Ward, operations officer for 6th Battalion, 37th Field Artillery Regiment, whose battalion specializes in the MLRS platform. “This is an exercise where we can see what other units get to do, and we get to see how they all fit in the big picture.”
Due to its unparalleled lethality, versatility and range, the U.S. Army has used the MLRS for nearly 27 years. The 210th Field Artillery Brigade maximizes its lethality with three dedicated MRLS battalions, all of which participated in the event.
Success of the MLRS platform, in addition to working alongside their U.S. counterparts, has allowed the ROK Army to find the strategic value in the weapon’s utility and decided to use them for fire and counterfire operations within its own formations.
“The MLRS is currently one of the strongest field artillery weaponry system,” said Lt. Col. Tae-Hun Kim, the battalion commander of 5000th Battalion, 5th Field ArtilleryBrigade, 6th Division. “It is a vital part of the defense of the Korean Peninsula.”
“Even though it is our first time being in a part of the demonstration, but it is an honor to show our strength and procedures to the citizens of Republic of Korea,” added Kim. “Furthermore, participating this event with our sibling units made this exercise much more meaningful.”
During the demonstrations, three launchers from each country’s Army shared tactical positions and targets. The ROK command post then received "call for fire" signal, which is then transferred to six MLRS crews simultaneously to fire at the same time, said Ward.
Having successfully completed such an alliance-strengthening event with the ROK Army and spending every day for five weeks in the same compound with their ROK allies, the brigade’s crew members were able to establish a positive rapport and trust among their counterparts.
In addition to reinforcing the mission essential skills of each Soldier, the brigade’s Soldiers educated themselves on the culture of the respective armies: How they think, operate and execute their missions.
“There is something different when the Soldiers work and live next to each other,” said Ward. “It is this partnership that makes us strong. This exercise allows us to see that, we are partners in alliance.”
In addition to firing the first U.S. rockets from the ROK range, troops also encountered a few more firsts, including the integration of live-fire exercises with multiple types of units among combined and joint partners.
“In an artillery brigade, you only get to see artillery units,” said Ward. “We have learned a lot about how we use MLRS when we have troops maneuvering in proximal range and we have airplanes up in the sky.”
Through maintaining and developing positive relationship between both field artillery units and their combined-joint partners, the alliance will be able to summon coordinated artillery fire power at any time of need.
“I think the biggest thing here is establishing the relationship between ROK 5000th Battalion, and other maneuver units out here with our assets,” said Capt. Jason Yu, commander of Battery A, 6th Battalion, 37th FA Regiment, 210th FA Brigade, 2nd Infantry Division. “Seeing how it would look like in a coordinated scheme of maneuver. Learning about each other’s capabilities and movements out in the battlefield is the key component we learned so far.”
“This exercise really demonstrates our capabilities in case of provocations from the north,” added Yu, a Chappaqua, New York, native. “It really shows the great firepower we have in defense of South Korea and how we operate together in the real environment.”
VideoDescriptionCredit: Pfc. Jaewoo Oh
Video Credits: Staff Sgt.BrandonOwen, Sgt. 1st Class Lawree Washingtonn, Pfc. Jun Sung Lee and Sgt. Elliot Valdez
DerivativeWorks ArmedForcesUpdate
Thumbnail Credit: Sgt. Elliot Valdez Modified by ArmedForcesUpdate

📚 How to find the derivative by the delta method (Question 2)

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of the function y=3/(x^2+1) by the delta method.
(Difficulty: Hard)
The derivative:
Slope of tangent along point p on the curve⇒m=(y_2−y_1)/(x_2−x_1 )=Δy/Δx=dy/dx=(lim_(Δx→0)⁡〖((y+Δy)−y)/Δx〗⁡)
Step 1: Substitute x+Δx into x, and y+Δy into y of the function.
Step 2: Model the limit expression.
Step 3: Simplify and take the limit, Δx→0.

Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every time we study the trajectory of a particle since that would be unnecessary as classical physics provides quite an accurate prediction in this domain. Here I attempt to derive the Erhenfest Theorem related to the time derivative of momentum, from the Schrodinger's equation.
Forward your questions here: http://www.8physics.com/
Support this channel on Patreon: https://www.patreon.com/dibyajyotidas

A-10 and F-15 aircraft practice on unmanned Humvee targets their ability to destroy moving and static target . The A-10 used its 30 mm gatling gun and the f-15 used smart practice bomb. Video also include footage of A-10 being air refueled.
Video Credit:US Air Force ,Derivative Work by DailyMilitaryDefense & ArchiveThumbnail Credit: Darkone from Wikipedia, US Marines , Derivative Work by Daily Military Defense & Archive
Don't forget to subscribe us on Facebook or Twitter.
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You have a question or you would like to send us footage. Send us a message.

Relationship Between Force and Potential Energy

The notion of conservative systems is introduced, and the relationship between the force and potential energy in conservative systems is discussed.

published: 28 Sep 2014

Finding Instantaneous Rates of Change Using Def'n of Derivative

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Instantaneous Rates of Change Using Def'n of Derivative. In this video, I look at the instantaneous rate of production using the limit definition of a derivative.

Lenz's Law - seeing that the magnetic field induced by a current induced by a change in magnetic flux (Faraday's Law) counteracts the change in flux.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots...

published: 09 Oct 2015

📚 How to find the derivative using first principles

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of f(x)=x^2.
The derivative:
dy/dx=(lim_(Δx→0)⁡〖Δy/Δx〗⁡) or (lim_(Δx→0)⁡〖(f(x+Δx)−f(x))/Δx〗⁡)

published: 15 Jan 2018

Deriving the Work-Energy Theorem using Calculus

Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-KineticEnergy Theorem. Want Lecture Notes? http://www.flippingphysics.com/wnet-ke.html This is an AP Physics 1 topic.
ContentTimes:
0:21 The integral definition of work
1:02 Net Work
1:53 Substituting in for acceleration
2:40 Dealing with dv/dt
3:26 Changing the limits
3:50 Substituting in velocity
4:32 Taking the integral
4:56 Kinetic Energy!
5:16 The Theorem
5:42 Other energy equations
6:46 When can we use this equation?
NextVideo: Work-Energy Theorem Problem by Billy
http://www.flippingphysics.com/wnet-billy.html
Multilingual? Please help translate Flipping Physics videos!
http://www.flippingphysics.com/translate.html
Previous Video: Work due to Friction equals Change in Mechan...

published: 17 Feb 2016

Finding a Potential for a Conservative Vector Field

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Potential for a ConservativeVector Field.
In this video, I find the potential for a conservative vector field.

This physics video tutorial explains the concept of impulse and linear momentum in one and two dimensions. It covers the law of conservation of momentum for collisions and conservation of kinetic energy for elastic collisions. This video contains plenty of examples, notes, formulas / equations, and practice problems for you to master the concept.
Here is a list of topics:
1. MomentumDefinition- Mass in Motion - Mass times Velocity
2. Momentum: Vector Quantity - Magnitude and Direction
3. Units of Momentum - Kg m/s
4. Newton's Second Law of Motion - F=ma - Net Force is mass times acceleration
5. Net Force - rate of change of momentum
6. Impulse Momentum Theorem / Principle
7. Force, Impulse, and Change in Momentum Physics Problems - Calculating FinalSpeed / Velocity
8. Calcula...

published: 02 Oct 2016

📚 How to find the derivative by the delta method (Question 2)

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of the function y=3/(x^2+1) by the delta method.
(Difficulty: Hard)
The derivative:
Slope of tangent along point p on the curve⇒m=(y_2−y_1)/(x_2−x_1 )=Δy/Δx=dy/dx=(lim_(Δx→0)⁡〖((y+Δy)−y)/Δx〗⁡)
Step 1: Substitute x+Δx into x, and y+Δy into y of the function.
Step 2: Model the limit expression.
Step 3: Simplify and take the limit, Δx→0.

Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every t...

A-10 and F-15 aircraft practice on unmanned Humvee targets their ability to destroy moving and static target . The A-10 used its 30 mm gatling gun and the f-15 used smart practice bomb. Video also include footage of A-10 being air refueled.
Video Credit:US Air Force ,Derivative Work by DailyMilitaryDefense & ArchiveThumbnail Credit: Darkone from Wikipedia, US Marines , Derivative Work by Daily Military Defense & Archive
Don't forget to subscribe us on Facebook or Twitter.
https://www.facebook.com/DailyExplosiveVideos
https://twitter.com/ExplosiveVideos
You have a question or you would like to send us footage. Send us a message.

Finding Instantaneous Rates of Change Using Def'n of Derivative

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Instantaneous Rates o...

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Instantaneous Rates of Change Using Def'n of Derivative. In this video, I look at the instantaneous rate of production using the limit definition of a derivative.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Instantaneous Rates of Change Using Def'n of Derivative. In this video, I look at the instantaneous rate of production using the limit definition of a derivative.

Lenz's Law - seeing that the magnetic field induced by a current induced by a change in magnetic flux (Faraday's Law) counteracts the change in flux.
Watch the...

Lenz's Law - seeing that the magnetic field induced by a current induced by a change in magnetic flux (Faraday's Law) counteracts the change in flux.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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Lenz's Law - seeing that the magnetic field induced by a current induced by a change in magnetic flux (Faraday's Law) counteracts the change in flux.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

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🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of f(x)=x^2.
The derivative:
dy/dx=(lim_(Δx→0)⁡〖Δy/Δx〗⁡) or (lim_(Δx→0)⁡〖(f(x+Δx)−f(x))/Δx〗⁡)

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Q. Find the derivative of f(x)=x^2.
The derivative:
dy/dx=(lim_(Δx→0)⁡〖Δy/Δx〗⁡) or (lim_(Δx→0)⁡〖(f(x+Δx)−f(x))/Δx〗⁡)

Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-KineticEnergy Theorem. Want Lecture Notes? http://www.flippingphysics.com/wnet-ke.html This is an AP Physics 1 topic.
ContentTimes:
0:21 The integral definition of work
1:02 Net Work
1:53 Substituting in for acceleration
2:40 Dealing with dv/dt
3:26 Changing the limits
3:50 Substituting in velocity
4:32 Taking the integral
4:56 Kinetic Energy!
5:16 The Theorem
5:42 Other energy equations
6:46 When can we use this equation?
NextVideo: Work-Energy Theorem Problem by Billy
http://www.flippingphysics.com/wnet-billy.html
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Previous Video: Work due to Friction equals Change in Mechanical Energy Problem by Billy
http://www.flippingphysics.com/wf-problem-billy.html
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Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-KineticEnergy Theorem. Want Lecture Notes? http://www.flippingphysics.com/wnet-ke.html This is an AP Physics 1 topic.
ContentTimes:
0:21 The integral definition of work
1:02 Net Work
1:53 Substituting in for acceleration
2:40 Dealing with dv/dt
3:26 Changing the limits
3:50 Substituting in velocity
4:32 Taking the integral
4:56 Kinetic Energy!
5:16 The Theorem
5:42 Other energy equations
6:46 When can we use this equation?
NextVideo: Work-Energy Theorem Problem by Billy
http://www.flippingphysics.com/wnet-billy.html
Multilingual? Please help translate Flipping Physics videos!
http://www.flippingphysics.com/translate.html
Previous Video: Work due to Friction equals Change in Mechanical Energy Problem by Billy
http://www.flippingphysics.com/wf-problem-billy.html
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Finding a Potential for a Conservative Vector Field

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Potential for a Con...

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Potential for a ConservativeVector Field.
In this video, I find the potential for a conservative vector field.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Potential for a ConservativeVector Field.
In this video, I find the potential for a conservative vector field.

A great video of the US Military putting on a show of force in military exercise.The United StatesArmed Forces are the military forces of the United States.
CAMP CASEY, South Korea – For more than a month, Soldiers from the 210th Field Artillery Brigade, 2nd Infantry Division/ROK-U.S. Combined Division, trained alongside their joint and combined partners for their debut participation in the Republic of Korea Army’s IntegratedFirepower demonstrations Aug. 7-28 near Pocheon, South Korea.
The massive capability demonstrations were conducted for public viewing five times throughout the month and included a variety of assets from both the U.S. Army and Air Force.
In addition to the tanks, helicopters and jets previously seen in the 2012 event, this year’s lineup showcased the brigade’s Multiple Launch Rocket Systems and Paladin self-propelled howitzers.
“This is a unique opportunity for us because it allows us to practice with all elements of the Army alliance here in Korea,” said Maj. Elijah Ward, operations officer for 6th Battalion, 37th Field Artillery Regiment, whose battalion specializes in the MLRS platform. “This is an exercise where we can see what other units get to do, and we get to see how they all fit in the big picture.”
Due to its unparalleled lethality, versatility and range, the U.S. Army has used the MLRS for nearly 27 years. The 210th Field Artillery Brigade maximizes its lethality with three dedicated MRLS battalions, all of which participated in the event.
Success of the MLRS platform, in addition to working alongside their U.S. counterparts, has allowed the ROK Army to find the strategic value in the weapon’s utility and decided to use them for fire and counterfire operations within its own formations.
“The MLRS is currently one of the strongest field artillery weaponry system,” said Lt. Col. Tae-Hun Kim, the battalion commander of 5000th Battalion, 5th Field ArtilleryBrigade, 6th Division. “It is a vital part of the defense of the Korean Peninsula.”
“Even though it is our first time being in a part of the demonstration, but it is an honor to show our strength and procedures to the citizens of Republic of Korea,” added Kim. “Furthermore, participating this event with our sibling units made this exercise much more meaningful.”
During the demonstrations, three launchers from each country’s Army shared tactical positions and targets. The ROK command post then received "call for fire" signal, which is then transferred to six MLRS crews simultaneously to fire at the same time, said Ward.
Having successfully completed such an alliance-strengthening event with the ROK Army and spending every day for five weeks in the same compound with their ROK allies, the brigade’s crew members were able to establish a positive rapport and trust among their counterparts.
In addition to reinforcing the mission essential skills of each Soldier, the brigade’s Soldiers educated themselves on the culture of the respective armies: How they think, operate and execute their missions.
“There is something different when the Soldiers work and live next to each other,” said Ward. “It is this partnership that makes us strong. This exercise allows us to see that, we are partners in alliance.”
In addition to firing the first U.S. rockets from the ROK range, troops also encountered a few more firsts, including the integration of live-fire exercises with multiple types of units among combined and joint partners.
“In an artillery brigade, you only get to see artillery units,” said Ward. “We have learned a lot about how we use MLRS when we have troops maneuvering in proximal range and we have airplanes up in the sky.”
Through maintaining and developing positive relationship between both field artillery units and their combined-joint partners, the alliance will be able to summon coordinated artillery fire power at any time of need.
“I think the biggest thing here is establishing the relationship between ROK 5000th Battalion, and other maneuver units out here with our assets,” said Capt. Jason Yu, commander of Battery A, 6th Battalion, 37th FA Regiment, 210th FA Brigade, 2nd Infantry Division. “Seeing how it would look like in a coordinated scheme of maneuver. Learning about each other’s capabilities and movements out in the battlefield is the key component we learned so far.”
“This exercise really demonstrates our capabilities in case of provocations from the north,” added Yu, a Chappaqua, New York, native. “It really shows the great firepower we have in defense of South Korea and how we operate together in the real environment.”
VideoDescriptionCredit: Pfc. Jaewoo Oh
Video Credits: Staff Sgt.BrandonOwen, Sgt. 1st Class Lawree Washingtonn, Pfc. Jun Sung Lee and Sgt. Elliot Valdez
DerivativeWorks ArmedForcesUpdate
Thumbnail Credit: Sgt. Elliot Valdez Modified by ArmedForcesUpdate

A great video of the US Military putting on a show of force in military exercise.The United StatesArmed Forces are the military forces of the United States.
CAMP CASEY, South Korea – For more than a month, Soldiers from the 210th Field Artillery Brigade, 2nd Infantry Division/ROK-U.S. Combined Division, trained alongside their joint and combined partners for their debut participation in the Republic of Korea Army’s IntegratedFirepower demonstrations Aug. 7-28 near Pocheon, South Korea.
The massive capability demonstrations were conducted for public viewing five times throughout the month and included a variety of assets from both the U.S. Army and Air Force.
In addition to the tanks, helicopters and jets previously seen in the 2012 event, this year’s lineup showcased the brigade’s Multiple Launch Rocket Systems and Paladin self-propelled howitzers.
“This is a unique opportunity for us because it allows us to practice with all elements of the Army alliance here in Korea,” said Maj. Elijah Ward, operations officer for 6th Battalion, 37th Field Artillery Regiment, whose battalion specializes in the MLRS platform. “This is an exercise where we can see what other units get to do, and we get to see how they all fit in the big picture.”
Due to its unparalleled lethality, versatility and range, the U.S. Army has used the MLRS for nearly 27 years. The 210th Field Artillery Brigade maximizes its lethality with three dedicated MRLS battalions, all of which participated in the event.
Success of the MLRS platform, in addition to working alongside their U.S. counterparts, has allowed the ROK Army to find the strategic value in the weapon’s utility and decided to use them for fire and counterfire operations within its own formations.
“The MLRS is currently one of the strongest field artillery weaponry system,” said Lt. Col. Tae-Hun Kim, the battalion commander of 5000th Battalion, 5th Field ArtilleryBrigade, 6th Division. “It is a vital part of the defense of the Korean Peninsula.”
“Even though it is our first time being in a part of the demonstration, but it is an honor to show our strength and procedures to the citizens of Republic of Korea,” added Kim. “Furthermore, participating this event with our sibling units made this exercise much more meaningful.”
During the demonstrations, three launchers from each country’s Army shared tactical positions and targets. The ROK command post then received "call for fire" signal, which is then transferred to six MLRS crews simultaneously to fire at the same time, said Ward.
Having successfully completed such an alliance-strengthening event with the ROK Army and spending every day for five weeks in the same compound with their ROK allies, the brigade’s crew members were able to establish a positive rapport and trust among their counterparts.
In addition to reinforcing the mission essential skills of each Soldier, the brigade’s Soldiers educated themselves on the culture of the respective armies: How they think, operate and execute their missions.
“There is something different when the Soldiers work and live next to each other,” said Ward. “It is this partnership that makes us strong. This exercise allows us to see that, we are partners in alliance.”
In addition to firing the first U.S. rockets from the ROK range, troops also encountered a few more firsts, including the integration of live-fire exercises with multiple types of units among combined and joint partners.
“In an artillery brigade, you only get to see artillery units,” said Ward. “We have learned a lot about how we use MLRS when we have troops maneuvering in proximal range and we have airplanes up in the sky.”
Through maintaining and developing positive relationship between both field artillery units and their combined-joint partners, the alliance will be able to summon coordinated artillery fire power at any time of need.
“I think the biggest thing here is establishing the relationship between ROK 5000th Battalion, and other maneuver units out here with our assets,” said Capt. Jason Yu, commander of Battery A, 6th Battalion, 37th FA Regiment, 210th FA Brigade, 2nd Infantry Division. “Seeing how it would look like in a coordinated scheme of maneuver. Learning about each other’s capabilities and movements out in the battlefield is the key component we learned so far.”
“This exercise really demonstrates our capabilities in case of provocations from the north,” added Yu, a Chappaqua, New York, native. “It really shows the great firepower we have in defense of South Korea and how we operate together in the real environment.”
VideoDescriptionCredit: Pfc. Jaewoo Oh
Video Credits: Staff Sgt.BrandonOwen, Sgt. 1st Class Lawree Washingtonn, Pfc. Jun Sung Lee and Sgt. Elliot Valdez
DerivativeWorks ArmedForcesUpdate
Thumbnail Credit: Sgt. Elliot Valdez Modified by ArmedForcesUpdate

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of the function y=3/(x^2+1) by the delta method.
(Difficulty: Hard)
The derivative:
Slope of tangent along point p on the curve⇒m=(y_2−y_1)/(x_2−x_1 )=Δy/Δx=dy/dx=(lim_(Δx→0)⁡〖((y+Δy)−y)/Δx〗⁡)
Step 1: Substitute x+Δx into x, and y+Δy into y of the function.
Step 2: Model the limit expression.
Step 3: Simplify and take the limit, Δx→0.

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Q. Find the derivative of the function y=3/(x^2+1) by the delta method.
(Difficulty: Hard)
The derivative:
Slope of tangent along point p on the curve⇒m=(y_2−y_1)/(x_2−x_1 )=Δy/Δx=dy/dx=(lim_(Δx→0)⁡〖((y+Δy)−y)/Δx〗⁡)
Step 1: Substitute x+Δx into x, and y+Δy into y of the function.
Step 2: Model the limit expression.
Step 3: Simplify and take the limit, Δx→0.

Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every time we study the trajectory of a particle since that would be unnecessary as classical physics provides quite an accurate prediction in this domain. Here I attempt to derive the Erhenfest Theorem related to the time derivative of momentum, from the Schrodinger's equation.
Forward your questions here: http://www.8physics.com/
Support this channel on Patreon: https://www.patreon.com/dibyajyotidas

Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every time we study the trajectory of a particle since that would be unnecessary as classical physics provides quite an accurate prediction in this domain. Here I attempt to derive the Erhenfest Theorem related to the time derivative of momentum, from the Schrodinger's equation.
Forward your questions here: http://www.8physics.com/
Support this channel on Patreon: https://www.patreon.com/dibyajyotidas

A-10 and F-15 aircraft practice on unmanned Humvee targets their ability to destroy moving and static target . The A-10 used its 30 mm gatling gun and the f-15...

A-10 and F-15 aircraft practice on unmanned Humvee targets their ability to destroy moving and static target . The A-10 used its 30 mm gatling gun and the f-15 used smart practice bomb. Video also include footage of A-10 being air refueled.
Video Credit:US Air Force ,Derivative Work by DailyMilitaryDefense & ArchiveThumbnail Credit: Darkone from Wikipedia, US Marines , Derivative Work by Daily Military Defense & Archive
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A-10 and F-15 aircraft practice on unmanned Humvee targets their ability to destroy moving and static target . The A-10 used its 30 mm gatling gun and the f-15 used smart practice bomb. Video also include footage of A-10 being air refueled.
Video Credit:US Air Force ,Derivative Work by DailyMilitaryDefense & ArchiveThumbnail Credit: Darkone from Wikipedia, US Marines , Derivative Work by Daily Military Defense & Archive
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📚 How to find the derivative of secant and cotangent functions (Part 2)

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Link L is pivoted at B but slides along the fixed pin P. As slider C moves in the slot at a constant rate of 4.26 cm/s, the angle θ changes. Find the rate at which θ is changing when S=6.00 cm and θ=55°.

published: 25 Feb 2018

📚 How to find the derivative of secant and cotangent functions (Part 1)

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What you'll need:
Derivative of the secant: (d/dx sec⁡u=sec⁡u tan⁡u∙du/dx )
Derivative of the cotangent: (d/dx cot⁡u=−csc^2⁡u∙du/dx )
Q1. Find the derivative of the following:
(a) y=sec⁡〖(x^3−2x)〗
(b) y=cot^3⁡5x
Q2. Link L is pivoted at B but slides along the fixed pin P. As slider C moves in the slot at a constant rate of 4.26 cm/s, the angle θ changes. Find the rate at which θ is changing when S=6.00 cm.

📚 How to find the second derivative of a function (Part 2)

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Q. Find the second derivative of y=(x+2) √(x−3)
What you'll need:
Derivative of a product of two factors: ▭(d(uv)/dx=u du/dx+v du/dx)

published: 18 Jan 2018

📚 How to find derivative using the power rule

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Power rule: (d/dx cx^n=cnx^(n−1) )
Q1. Find the derivative of y=x^3.
Q2. Find the derivative of y=x^(−4).
Q3. Find the derivative of d(3x^(−2) )/dx.
Q4. If y=−3/x^2 , find the derivative y′.
Q5. If the derivative of y=(x^2+3)/x.
Q6. Find the derivative of y=x .

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Link L is pivoted at B but slides along the fixed pin P. As slider C moves in the slot at a constant rate of 4.26 cm/s, the angle θ changes. Find the rate at which θ is changing when S=6.00 cm and θ=55°.

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Link L is pivoted at B but slides along the fixed pin P. As slider C moves in the slot at a constant rate of 4.26 cm/s, the angle θ changes. Find the rate at which θ is changing when S=6.00 cm and θ=55°.

published:25 Feb 2018

views:8

back

📚 How to find the derivative of secant and cotangent functions (Part 1)

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What y...

🌎 Brought to you by: https://Biology-Forums.com
🤔 Still stuck in math? Visit https://Biology-Forums.com/index.php?board=33.0 to start asking questions.
What you'll need:
Derivative of the secant: (d/dx sec⁡u=sec⁡u tan⁡u∙du/dx )
Derivative of the cotangent: (d/dx cot⁡u=−csc^2⁡u∙du/dx )
Q1. Find the derivative of the following:
(a) y=sec⁡〖(x^3−2x)〗
(b) y=cot^3⁡5x
Q2. Link L is pivoted at B but slides along the fixed pin P. As slider C moves in the slot at a constant rate of 4.26 cm/s, the angle θ changes. Find the rate at which θ is changing when S=6.00 cm.

🌎 Brought to you by: https://Biology-Forums.com
🤔 Still stuck in math? Visit https://Biology-Forums.com/index.php?board=33.0 to start asking questions.
What you'll need:
Derivative of the secant: (d/dx sec⁡u=sec⁡u tan⁡u∙du/dx )
Derivative of the cotangent: (d/dx cot⁡u=−csc^2⁡u∙du/dx )
Q1. Find the derivative of the following:
(a) y=sec⁡〖(x^3−2x)〗
(b) y=cot^3⁡5x
Q2. Link L is pivoted at B but slides along the fixed pin P. As slider C moves in the slot at a constant rate of 4.26 cm/s, the angle θ changes. Find the rate at which θ is changing when S=6.00 cm.

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the second derivative of y=(x+2) √(x−3)
What you'll need:
Derivative of a product of two factors: ▭(d(uv)/dx=u du/dx+v du/dx)

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the second derivative of y=(x+2) √(x−3)
What you'll need:
Derivative of a product of two factors: ▭(d(uv)/dx=u du/dx+v du/dx)

Original content provided under Creative Commons License.
MIT 8.01Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin
License: Creative CommonsBY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
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Originally uploaded by MIT OpenCourseWare on 14-02-17.
Cited keywords: 'potential energy diagrams' force
Disclaimer:
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All material is originally created by various public entities and should therefore be free of copyright restrictions.
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Original content provided under Creative Commons License.
MIT 8.01Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin
License: Creative CommonsBY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
Please subscribe and like our videos to make them more visible to a wider audience.
We hope to make this unique and educational content more accessible to the public.
Originally uploaded by MIT OpenCourseWare on 14-02-17.
Cited keywords: 'potential energy diagrams' force
Disclaimer:
This material is re-uploaded in order to disseminate its content to a wider audience.
All material is originally created by various public entities and should therefore be free of copyright restrictions.
Nonetheless, if the material (in its entirety or in part) violates your copyright, please let us know what steps you want us to take.
Video may display ads monetized by audiovisual copyright holders in some cases or in order to help facilitate the logistics and costs associated with identifying, preparing, and distributing this content.
We hope you enjoy these works of knowledge. Please subscribe and like our videos to make them more visible to a wider audience.

Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every t...

published: 22 Sep 2017

What is General Relativity? Lesson 9: Parallelism and the Covariant Derivative

The Ballistic Missile and SAC 1959 US Air Force Strategic Air Command

more at http://quickfound.net/links/military_news_and_links.html
On how the introduction of IntercontinentalBallistic Missiles (ICBMs) and the Atlas ICBM in particular will affect the Strategic Air Command.
This video has a problem with flickering, but was posted anyway due to the interesting content.
Public domain film from the Prelinger Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and mild video noise reduction applied.
The soundtrack was also processed with volume normalization, noise reduction, clipping reduction, and/or equalization (the resulting sound, though not perfect, is far less noisy than the original).
http://creativecommons.org/licenses/by-sa/3.0/
http://en.wikipedia.org/wiki/Intercontinental_ballistic_missile
An intercontinental ...

published: 19 Dec 2014

Infantry Weapons and Their Effects 1943 US Army; World War II Weaponry

NEWVERSION with improved sound: https://www.youtube.com/watch?v=LQnvksRdHFg
US ArmyTrainingFilm playlist: https://www.youtube.com/playlist?list=PL0C7C6CCF1C0DEBB3
more at http://quickfound.net/links/military_news_and_links.html
"This training film shows virtually all the weapons and ammunition used by the US Army in WWII and how they are being used most efficiently."
US Army Training Film TF7-1266
completely different 1953 film with same title:
https://www.youtube.com/watch?v=nfjX847FBlU
Public domain film from the US National Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and one-pass brightness-contrast-color correction & mild video noise reduction applied.
The soundtrack was also processed with volume normalization, noise reduction, clippin...

published: 30 Nov 2015

Definition of the Derivative

This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It explains how to find the derivative of a function using the limit process. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. Derivative of x^2
2. Derivative of rational functions - 1/x
3. Derivative of radical functions - square root of x
4. Derivative of linear functions
5. Derivative of polynomial functions
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

published: 22 Feb 2018

14. Maxwell's Equations and Electromagnetic Waves I

For more information about ProfessorShankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.
Fundamentals of Physics, II (PHYS 201)
Waves on a string are reviewed and the general solution to the wave equation is described. Maxwell's equations in their final form are written down and then considered in free space, away from charges and currents. It is shown how to verify that a given set of fields obeys Maxwell's equations by considering them on infinitesimal cubes and loops. A simple form of the solutions is assumed and the parameters therein fitted using Maxwell's equations. The wave equation follows, along with the wave speed equal to that of light (3 x 10^8), suggesting (correctly) that lig...

published: 24 Mar 2011

What is General Relativity? Lesson 10: CFREE notation and the covariant derivative

The first lesson in a series on CFREE notation.
Note: I stated that our metric convention has signature "-2" and I meant "+2". diagonalized(-1,1,1,1) has signature +2!

published: 18 Aug 2017

Maxwell's Equations - Basic derivation

A basic derivation of the four Maxwell equations which underpin electricity and magnetism.

Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every time we study the trajectory of a particle since that would be unnecessary as classical physics provides quite an accurate prediction in this domain. Here I attempt to derive the Erhenfest Theorem related to the time derivative of momentum, from the Schrodinger's equation.
Forward your questions here: http://www.8physics.com/
Support this channel on Patreon: https://www.patreon.com/dibyajyotidas

Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every time we study the trajectory of a particle since that would be unnecessary as classical physics provides quite an accurate prediction in this domain. Here I attempt to derive the Erhenfest Theorem related to the time derivative of momentum, from the Schrodinger's equation.
Forward your questions here: http://www.8physics.com/
Support this channel on Patreon: https://www.patreon.com/dibyajyotidas

published:22 Sep 2017

views:3434

back

What is General Relativity? Lesson 9: Parallelism and the Covariant Derivative

more at http://quickfound.net/links/military_news_and_links.html
On how the introduction of IntercontinentalBallistic Missiles (ICBMs) and the Atlas ICBM in particular will affect the Strategic Air Command.
This video has a problem with flickering, but was posted anyway due to the interesting content.
Public domain film from the Prelinger Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and mild video noise reduction applied.
The soundtrack was also processed with volume normalization, noise reduction, clipping reduction, and/or equalization (the resulting sound, though not perfect, is far less noisy than the original).
http://creativecommons.org/licenses/by-sa/3.0/
http://en.wikipedia.org/wiki/Intercontinental_ballistic_missile
An intercontinental ballistic missile (ICBM) is a ballistic missile with a minimum range of more than 5,500 kilometres (3,400 mi) primarily designed for nuclear weapons delivery (delivering one or more nuclear warheads). Similarly conventional, chemical and biological weapons can also be delivered with varying effectiveness. Most modern designs support multiple independently targetable reentry vehicles (MIRVs), allowing a single missile to carry several warheads, each of which can strike a different target.
Early ICBMs had limited accuracy that allowed them to be used only against the largest targets such as cities. They were seen as a "safe" basing option, one that would keep the deterrent force close to home where it would be difficult to attack. Attacks against military targets, if desired, still demanded the use of a manned bomber. Second and third generation designs dramatically improved accuracy to the point where even the smallest point targets can be successfully attacked.
ICBMs are differentiated by having greater range and speed than other ballistic missiles: intermediate-range ballistic missiles (IRBMs), medium-range ballistic missiles (MRBMs), short-range ballistic missiles (SRBMs)—these shorter range ballistic missiles are known collectively as theatre ballistic missiles...
In the immediate post-war era, the US and USSR both started rocket research programs based on the German wartime designs, especially the V-2. In the US, each branch of the military started its own programs, leading to considerable duplication of effort. In the USSR, rocket research was centrally organized, although several teams worked on different designs. Early designs from both countries were short-range missiles, like the V-2, but improvements quickly followed.
In the USSR early development was focused on missiles able to attack European targets. This changed in 1953 when Sergei Korolyov was directed to start development of a true ICBM able to deliver newly developed hydrogen bombs. Given steady funding throughout, the R-7 developed with some speed. The first launch took place on 15 May 1957 and led to an unintended crash 400 km (250 mi) from the site. The first successful test followed on 21 August 1957; the R-7 flew over 6,000 km (3,700 mi) and became the world's first ICBM.[4] The first strategic-missile unit became operational on 9 February1959 at Plesetsk in north-west Russia.
It was the same R-7 launch vehicle that placed the first artificial satellite in space, Sputnik, on 4 October 1957. The first human spaceflight in history was accomplished on a derivative of R-7, Vostok, on 12 April 1961, by Soviet cosmonaut Yuri Gagarin. A deeply modernized version of the R-7 is still used as the launch vehicle for the Soviet/RussianSoyuz spacecraft, marking more than 50 years of operational history of Sergei Korolyov's original rocket design.
The U.S. initiated ICBM research in 1946 with the MX-774 project. This was a three-stage effort with the ICBM development not starting until the third stage. However, funding was cut after only three partially successful launches in 1948 of the second stage design, used to test variations on the V-2 design. With overwhelming air superiority and truly intercontinental bombers, the newly forming US Air Force did not take the problem of ICBM development seriously. Things changed in 1953 with the Soviet testing of their first hydrogen bomb, but it was not until 1954 that the Atlas missile program was given the highest national priority. The Atlas A first flew on 11 June 1957; the flight lasted only about 24 seconds before the rocket blew up. The first successful flight of an Atlas missile to full range occurred 28 November1958. The first armed version of the Atlas, the Atlas D, was declared operational in January 1959 at Vandenberg, although it had not yet flown. The first test flight was carried out on 9 July 1959, and the missile was accepted for service on 1 September.
The R-7 and Atlas each required a large launch facility, making them vulnerable to attack, and could not be kept in a ready state...
These early ICBMs also formed the basis of many space launch systems...

more at http://quickfound.net/links/military_news_and_links.html
On how the introduction of IntercontinentalBallistic Missiles (ICBMs) and the Atlas ICBM in particular will affect the Strategic Air Command.
This video has a problem with flickering, but was posted anyway due to the interesting content.
Public domain film from the Prelinger Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and mild video noise reduction applied.
The soundtrack was also processed with volume normalization, noise reduction, clipping reduction, and/or equalization (the resulting sound, though not perfect, is far less noisy than the original).
http://creativecommons.org/licenses/by-sa/3.0/
http://en.wikipedia.org/wiki/Intercontinental_ballistic_missile
An intercontinental ballistic missile (ICBM) is a ballistic missile with a minimum range of more than 5,500 kilometres (3,400 mi) primarily designed for nuclear weapons delivery (delivering one or more nuclear warheads). Similarly conventional, chemical and biological weapons can also be delivered with varying effectiveness. Most modern designs support multiple independently targetable reentry vehicles (MIRVs), allowing a single missile to carry several warheads, each of which can strike a different target.
Early ICBMs had limited accuracy that allowed them to be used only against the largest targets such as cities. They were seen as a "safe" basing option, one that would keep the deterrent force close to home where it would be difficult to attack. Attacks against military targets, if desired, still demanded the use of a manned bomber. Second and third generation designs dramatically improved accuracy to the point where even the smallest point targets can be successfully attacked.
ICBMs are differentiated by having greater range and speed than other ballistic missiles: intermediate-range ballistic missiles (IRBMs), medium-range ballistic missiles (MRBMs), short-range ballistic missiles (SRBMs)—these shorter range ballistic missiles are known collectively as theatre ballistic missiles...
In the immediate post-war era, the US and USSR both started rocket research programs based on the German wartime designs, especially the V-2. In the US, each branch of the military started its own programs, leading to considerable duplication of effort. In the USSR, rocket research was centrally organized, although several teams worked on different designs. Early designs from both countries were short-range missiles, like the V-2, but improvements quickly followed.
In the USSR early development was focused on missiles able to attack European targets. This changed in 1953 when Sergei Korolyov was directed to start development of a true ICBM able to deliver newly developed hydrogen bombs. Given steady funding throughout, the R-7 developed with some speed. The first launch took place on 15 May 1957 and led to an unintended crash 400 km (250 mi) from the site. The first successful test followed on 21 August 1957; the R-7 flew over 6,000 km (3,700 mi) and became the world's first ICBM.[4] The first strategic-missile unit became operational on 9 February1959 at Plesetsk in north-west Russia.
It was the same R-7 launch vehicle that placed the first artificial satellite in space, Sputnik, on 4 October 1957. The first human spaceflight in history was accomplished on a derivative of R-7, Vostok, on 12 April 1961, by Soviet cosmonaut Yuri Gagarin. A deeply modernized version of the R-7 is still used as the launch vehicle for the Soviet/RussianSoyuz spacecraft, marking more than 50 years of operational history of Sergei Korolyov's original rocket design.
The U.S. initiated ICBM research in 1946 with the MX-774 project. This was a three-stage effort with the ICBM development not starting until the third stage. However, funding was cut after only three partially successful launches in 1948 of the second stage design, used to test variations on the V-2 design. With overwhelming air superiority and truly intercontinental bombers, the newly forming US Air Force did not take the problem of ICBM development seriously. Things changed in 1953 with the Soviet testing of their first hydrogen bomb, but it was not until 1954 that the Atlas missile program was given the highest national priority. The Atlas A first flew on 11 June 1957; the flight lasted only about 24 seconds before the rocket blew up. The first successful flight of an Atlas missile to full range occurred 28 November1958. The first armed version of the Atlas, the Atlas D, was declared operational in January 1959 at Vandenberg, although it had not yet flown. The first test flight was carried out on 9 July 1959, and the missile was accepted for service on 1 September.
The R-7 and Atlas each required a large launch facility, making them vulnerable to attack, and could not be kept in a ready state...
These early ICBMs also formed the basis of many space launch systems...

published:19 Dec 2014

views:23654

back

Infantry Weapons and Their Effects 1943 US Army; World War II Weaponry

NEWVERSION with improved sound: https://www.youtube.com/watch?v=LQnvksRdHFg
US ArmyTrainingFilm playlist: https://www.youtube.com/playlist?list=PL0C7C6CCF1C0DEBB3
more at http://quickfound.net/links/military_news_and_links.html
"This training film shows virtually all the weapons and ammunition used by the US Army in WWII and how they are being used most efficiently."
US Army Training Film TF7-1266
completely different 1953 film with same title:
https://www.youtube.com/watch?v=nfjX847FBlU
Public domain film from the US National Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and one-pass brightness-contrast-color correction & mild video noise reduction applied.
The soundtrack was also processed with volume normalization, noise reduction, clipping reduction, and/or equalization (the resulting sound, though not perfect, is far less noisy than the original).
http://creativecommons.org/licenses/by-sa/3.0/
https://en.wikipedia.org/wiki/M1911_pistol
The M1911 is a single-action, semi-automatic, magazine-fed, recoil-operated pistol chambered for the .45ACP cartridge. It served as the standard-issue sidearm for the United States Armed Forces from 1911 to 1986. It was first used in later stages of the Philippine-American War, and was widely used in World War I, World War II, the Korean War, and the Vietnam War. The pistol's formal designation as of 1940 was AutomaticPistol, Caliber .45, M1911 for the original model of 1911 or Automatic Pistol, Caliber .45, M1911A1 for the M1911A1, adopted in 1924. The designation changed to Pistol, Caliber .45, Automatic, M1911A1 in the Vietnam era.
In total, the U.S. procured around 2.7 million M1911 and M1911A1 pistols in military contracts during its service life. The M1911 was replaced by the 9mm BerettaM9 pistol as the standard U.S. sidearm in October 1986, but due to its popularity among users, it has not been completely phased out. Modernized derivative variants of the M1911 are still in use by some units of the U.S. ArmySpecial Forces, the U.S. Navy and U.S. MarineCorps.
Designed by John Browning, the M1911 is the best-known of his designs to use the short recoil principle in its basic design. The pistol was widely copied, and this operating system rose to become the preeminent type of the 20th century and of nearly all modern centerfire pistols. It is popular with civilian shooters in competitive events such as USPSA, IDPA, International Practical Shooting Confederation, and Bullseye shooting. Compact variants are popular civilian concealed carry weapons, because of the design's relatively slim width and the power of the .45 ACP cartridge...
https://en.wikipedia.org/wiki/M3_submachine_gun
The M3 was an American .45-caliber submachine gun adopted for U.S. Army service on 12 December1942, as the United StatesSubmachine Gun, Cal. .45, M3. The M3 was chambered for the same .45 round fired by the Thompson submachine gun, but was cheaper to produce, lighter, and more accurate. The M3 was commonly referred to as the "Grease Gun" or simply "the Greaser," owing to its visual similarity to a mechanic's grease gun.
Intended as a replacement for the .45-caliber Thompson series of submachine guns, the M3 and its improved successor, the M3A1 began to replace the Thompson in first-line service in late 1944 and early 1945. Due to delays caused by production issues and approved specification changes, the M3/M3A1 saw relatively little combat use in World War II...
https://en.wikipedia.org/wiki/M1_carbine
The M1 carbine (formally the United States Carbine, Caliber .30, M1) is a lightweight .30 caliber semi-automatic carbine that became a standard firearm for the U.S. military during World War II, the Korean War and the Vietnam War, and was produced in several variants. Easy to use, it was widely used by U.S. and foreign military, paramilitary and police forces, and has also been a popular civilian firearm.
In selective-fire versions capable of fully automatic firing, the carbine is designated the M2 carbine. The M3 carbine was an M1 or M2 with an active infrared scope system. Unlike conventional carbines, which are generally shorter-barreled versions of a longer parent rifle (like the earlier .30-40 U.S. Krag rifle and carbine and the later M16 rifle and M4 carbine), the M1 carbine has only one minor part in common with the unrelated larger M1 Garand, a short buttplate screw, and fires a different cartridge...

NEWVERSION with improved sound: https://www.youtube.com/watch?v=LQnvksRdHFg
US ArmyTrainingFilm playlist: https://www.youtube.com/playlist?list=PL0C7C6CCF1C0DEBB3
more at http://quickfound.net/links/military_news_and_links.html
"This training film shows virtually all the weapons and ammunition used by the US Army in WWII and how they are being used most efficiently."
US Army Training Film TF7-1266
completely different 1953 film with same title:
https://www.youtube.com/watch?v=nfjX847FBlU
Public domain film from the US National Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and one-pass brightness-contrast-color correction & mild video noise reduction applied.
The soundtrack was also processed with volume normalization, noise reduction, clipping reduction, and/or equalization (the resulting sound, though not perfect, is far less noisy than the original).
http://creativecommons.org/licenses/by-sa/3.0/
https://en.wikipedia.org/wiki/M1911_pistol
The M1911 is a single-action, semi-automatic, magazine-fed, recoil-operated pistol chambered for the .45ACP cartridge. It served as the standard-issue sidearm for the United States Armed Forces from 1911 to 1986. It was first used in later stages of the Philippine-American War, and was widely used in World War I, World War II, the Korean War, and the Vietnam War. The pistol's formal designation as of 1940 was AutomaticPistol, Caliber .45, M1911 for the original model of 1911 or Automatic Pistol, Caliber .45, M1911A1 for the M1911A1, adopted in 1924. The designation changed to Pistol, Caliber .45, Automatic, M1911A1 in the Vietnam era.
In total, the U.S. procured around 2.7 million M1911 and M1911A1 pistols in military contracts during its service life. The M1911 was replaced by the 9mm BerettaM9 pistol as the standard U.S. sidearm in October 1986, but due to its popularity among users, it has not been completely phased out. Modernized derivative variants of the M1911 are still in use by some units of the U.S. ArmySpecial Forces, the U.S. Navy and U.S. MarineCorps.
Designed by John Browning, the M1911 is the best-known of his designs to use the short recoil principle in its basic design. The pistol was widely copied, and this operating system rose to become the preeminent type of the 20th century and of nearly all modern centerfire pistols. It is popular with civilian shooters in competitive events such as USPSA, IDPA, International Practical Shooting Confederation, and Bullseye shooting. Compact variants are popular civilian concealed carry weapons, because of the design's relatively slim width and the power of the .45 ACP cartridge...
https://en.wikipedia.org/wiki/M3_submachine_gun
The M3 was an American .45-caliber submachine gun adopted for U.S. Army service on 12 December1942, as the United StatesSubmachine Gun, Cal. .45, M3. The M3 was chambered for the same .45 round fired by the Thompson submachine gun, but was cheaper to produce, lighter, and more accurate. The M3 was commonly referred to as the "Grease Gun" or simply "the Greaser," owing to its visual similarity to a mechanic's grease gun.
Intended as a replacement for the .45-caliber Thompson series of submachine guns, the M3 and its improved successor, the M3A1 began to replace the Thompson in first-line service in late 1944 and early 1945. Due to delays caused by production issues and approved specification changes, the M3/M3A1 saw relatively little combat use in World War II...
https://en.wikipedia.org/wiki/M1_carbine
The M1 carbine (formally the United States Carbine, Caliber .30, M1) is a lightweight .30 caliber semi-automatic carbine that became a standard firearm for the U.S. military during World War II, the Korean War and the Vietnam War, and was produced in several variants. Easy to use, it was widely used by U.S. and foreign military, paramilitary and police forces, and has also been a popular civilian firearm.
In selective-fire versions capable of fully automatic firing, the carbine is designated the M2 carbine. The M3 carbine was an M1 or M2 with an active infrared scope system. Unlike conventional carbines, which are generally shorter-barreled versions of a longer parent rifle (like the earlier .30-40 U.S. Krag rifle and carbine and the later M16 rifle and M4 carbine), the M1 carbine has only one minor part in common with the unrelated larger M1 Garand, a short buttplate screw, and fires a different cartridge...

Definition of the Derivative

This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It e...

This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It explains how to find the derivative of a function using the limit process. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. Derivative of x^2
2. Derivative of rational functions - 1/x
3. Derivative of radical functions - square root of x
4. Derivative of linear functions
5. Derivative of polynomial functions
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It explains how to find the derivative of a function using the limit process. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. Derivative of x^2
2. Derivative of rational functions - 1/x
3. Derivative of radical functions - square root of x
4. Derivative of linear functions
5. Derivative of polynomial functions
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

For more information about ProfessorShankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.
Fundamentals of Physics, II (PHYS 201)
Waves on a string are reviewed and the general solution to the wave equation is described. Maxwell's equations in their final form are written down and then considered in free space, away from charges and currents. It is shown how to verify that a given set of fields obeys Maxwell's equations by considering them on infinitesimal cubes and loops. A simple form of the solutions is assumed and the parameters therein fitted using Maxwell's equations. The wave equation follows, along with the wave speed equal to that of light (3 x 10^8), suggesting (correctly) that light is an electromagnetic wave. The vector relationship between the electric field, the magnetic field and the direction of wave propagation is described.
00:00 - Chapter 1. Background
04:43 - Chapter 2. Review of Wave Equation
20:01 - Chapter 3. Maxwell's Equations
56:47 - Chapter 4. Light as an Electromagnetic WaveComplete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses
This course was recorded in Spring2010.
For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.

For more information about ProfessorShankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.
Fundamentals of Physics, II (PHYS 201)
Waves on a string are reviewed and the general solution to the wave equation is described. Maxwell's equations in their final form are written down and then considered in free space, away from charges and currents. It is shown how to verify that a given set of fields obeys Maxwell's equations by considering them on infinitesimal cubes and loops. A simple form of the solutions is assumed and the parameters therein fitted using Maxwell's equations. The wave equation follows, along with the wave speed equal to that of light (3 x 10^8), suggesting (correctly) that light is an electromagnetic wave. The vector relationship between the electric field, the magnetic field and the direction of wave propagation is described.
00:00 - Chapter 1. Background
04:43 - Chapter 2. Review of Wave Equation
20:01 - Chapter 3. Maxwell's Equations
56:47 - Chapter 4. Light as an Electromagnetic WaveComplete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses
This course was recorded in Spring2010.
For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.

published:24 Mar 2011

views:494767

back

What is General Relativity? Lesson 10: CFREE notation and the covariant derivative

Finding Instantaneous Rates of Change Using Def'n of Derivative

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding Instantaneous Rates of Change Using Def'n of Derivative. In this video, I look at the instantaneous rate of production using the limit definition of a derivative.

Lenz's Law - seeing that the magnetic field induced by a current induced by a change in magnetic flux (Faraday's Law) counteracts the change in flux.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics
Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy

4:04

📚 How to find the derivative using first principles

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyFor...

📚 How to find the derivative using first principles

🌎 Brought to you by: https://StudyForce.com
🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.
Q. Find the derivative of f(x)=x^2.
The derivative:
dy/dx=(lim_(Δx→0)⁡〖Δy/Δx〗⁡) or (lim_(Δx→0)⁡〖(f(x+Δx)−f(x))/Δx〗⁡)

7:54

Deriving the Work-Energy Theorem using Calculus

Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call...

Deriving the Work-Energy Theorem using Calculus

Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-KineticEnergy Theorem. Want Lecture Notes? http://www.flippingphysics.com/wnet-ke.html This is an AP Physics 1 topic.
ContentTimes:
0:21 The integral definition of work
1:02 Net Work
1:53 Substituting in for acceleration
2:40 Dealing with dv/dt
3:26 Changing the limits
3:50 Substituting in velocity
4:32 Taking the integral
4:56 Kinetic Energy!
5:16 The Theorem
5:42 Other energy equations
6:46 When can we use this equation?
NextVideo: Work-Energy Theorem Problem by Billy
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10:07

Finding a Potential for a Conservative Vector Field

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :...

Finding a Potential for a Conservative Vector Field

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding a Potential for a ConservativeVector Field.
In this video, I find the potential for a conservative vector field.

18:27

US Military puts on a SHOW OF FORCE in military exercise

A great video of the US Military putting on a show of force in military exercise.The Unite...

US Military puts on a SHOW OF FORCE in military exercise

A great video of the US Military putting on a show of force in military exercise.The United StatesArmed Forces are the military forces of the United States.
CAMP CASEY, South Korea – For more than a month, Soldiers from the 210th Field Artillery Brigade, 2nd Infantry Division/ROK-U.S. Combined Division, trained alongside their joint and combined partners for their debut participation in the Republic of Korea Army’s IntegratedFirepower demonstrations Aug. 7-28 near Pocheon, South Korea.
The massive capability demonstrations were conducted for public viewing five times throughout the month and included a variety of assets from both the U.S. Army and Air Force.
In addition to the tanks, helicopters and jets previously seen in the 2012 event, this year’s lineup showcased the brigade’s Multiple Launch Rocket Systems and Paladin self-propelled howitzers.
“This is a unique opportunity for us because it allows us to practice with all elements of the Army alliance here in Korea,” said Maj. Elijah Ward, operations officer for 6th Battalion, 37th Field Artillery Regiment, whose battalion specializes in the MLRS platform. “This is an exercise where we can see what other units get to do, and we get to see how they all fit in the big picture.”
Due to its unparalleled lethality, versatility and range, the U.S. Army has used the MLRS for nearly 27 years. The 210th Field Artillery Brigade maximizes its lethality with three dedicated MRLS battalions, all of which participated in the event.
Success of the MLRS platform, in addition to working alongside their U.S. counterparts, has allowed the ROK Army to find the strategic value in the weapon’s utility and decided to use them for fire and counterfire operations within its own formations.
“The MLRS is currently one of the strongest field artillery weaponry system,” said Lt. Col. Tae-Hun Kim, the battalion commander of 5000th Battalion, 5th Field ArtilleryBrigade, 6th Division. “It is a vital part of the defense of the Korean Peninsula.”
“Even though it is our first time being in a part of the demonstration, but it is an honor to show our strength and procedures to the citizens of Republic of Korea,” added Kim. “Furthermore, participating this event with our sibling units made this exercise much more meaningful.”
During the demonstrations, three launchers from each country’s Army shared tactical positions and targets. The ROK command post then received "call for fire" signal, which is then transferred to six MLRS crews simultaneously to fire at the same time, said Ward.
Having successfully completed such an alliance-strengthening event with the ROK Army and spending every day for five weeks in the same compound with their ROK allies, the brigade’s crew members were able to establish a positive rapport and trust among their counterparts.
In addition to reinforcing the mission essential skills of each Soldier, the brigade’s Soldiers educated themselves on the culture of the respective armies: How they think, operate and execute their missions.
“There is something different when the Soldiers work and live next to each other,” said Ward. “It is this partnership that makes us strong. This exercise allows us to see that, we are partners in alliance.”
In addition to firing the first U.S. rockets from the ROK range, troops also encountered a few more firsts, including the integration of live-fire exercises with multiple types of units among combined and joint partners.
“In an artillery brigade, you only get to see artillery units,” said Ward. “We have learned a lot about how we use MLRS when we have troops maneuvering in proximal range and we have airplanes up in the sky.”
Through maintaining and developing positive relationship between both field artillery units and their combined-joint partners, the alliance will be able to summon coordinated artillery fire power at any time of need.
“I think the biggest thing here is establishing the relationship between ROK 5000th Battalion, and other maneuver units out here with our assets,” said Capt. Jason Yu, commander of Battery A, 6th Battalion, 37th FA Regiment, 210th FA Brigade, 2nd Infantry Division. “Seeing how it would look like in a coordinated scheme of maneuver. Learning about each other’s capabilities and movements out in the battlefield is the key component we learned so far.”
“This exercise really demonstrates our capabilities in case of provocations from the north,” added Yu, a Chappaqua, New York, native. “It really shows the great firepower we have in defense of South Korea and how we operate together in the real environment.”
VideoDescriptionCredit: Pfc. Jaewoo Oh
Video Credits: Staff Sgt.BrandonOwen, Sgt. 1st Class Lawree Washingtonn, Pfc. Jun Sung Lee and Sgt. Elliot Valdez
DerivativeWorks ArmedForcesUpdate
Thumbnail Credit: Sgt. Elliot Valdez Modified by ArmedForcesUpdate

📚 How to find the derivative by the delta method (Question 2)

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Q. Find the derivative of the function y=3/(x^2+1) by the delta method.
(Difficulty: Hard)
The derivative:
Slope of tangent along point p on the curve⇒m=(y_2−y_1)/(x_2−x_1 )=Δy/Δx=dy/dx=(lim_(Δx→0)⁡〖((y+Δy)−y)/Δx〗⁡)
Step 1: Substitute x+Δx into x, and y+Δy into y of the function.
Step 2: Model the limit expression.
Step 3: Simplify and take the limit, Δx→0.

Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every time we study the trajectory of a particle since that would be unnecessary as classical physics provides quite an accurate prediction in this domain. Here I attempt to derive the Erhenfest Theorem related to the time derivative of momentum, from the Schrodinger's equation.
Forward your questions here: http://www.8physics.com/
Support this channel on Patreon: https://www.patreon.com/dibyajyotidas

A-10 and F-15 aircraft practice on unmanned Humvee targets their ability to destroy moving and static target . The A-10 used its 30 mm gatling gun and the f-15 used smart practice bomb. Video also include footage of A-10 being air refueled.
Video Credit:US Air Force ,Derivative Work by DailyMilitaryDefense & ArchiveThumbnail Credit: Darkone from Wikipedia, US Marines , Derivative Work by Daily Military Defense & Archive
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📚 How to find the derivative of secant and cotangent functions (Part 2)

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Link L is pivoted at B but slides along the fixed pin P. As slider C moves in the slot at a constant rate of 4.26 cm/s, the angle θ changes. Find the rate at which θ is changing when S=6.00 cm and θ=55°.

2:48

📚 How to find the derivative of secant and cotangent functions (Part 1)

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📚 How to find the derivative of secant and cotangent functions (Part 1)

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What you'll need:
Derivative of the secant: (d/dx sec⁡u=sec⁡u tan⁡u∙du/dx )
Derivative of the cotangent: (d/dx cot⁡u=−csc^2⁡u∙du/dx )
Q1. Find the derivative of the following:
(a) y=sec⁡〖(x^3−2x)〗
(b) y=cot^3⁡5x
Q2. Link L is pivoted at B but slides along the fixed pin P. As slider C moves in the slot at a constant rate of 4.26 cm/s, the angle θ changes. Find the rate at which θ is changing when S=6.00 cm.

📚 How to find the second derivative of a function (Part 2)

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Q. Find the second derivative of y=(x+2) √(x−3)
What you'll need:
Derivative of a product of two factors: ▭(d(uv)/dx=u du/dx+v du/dx)

5:02

📚 How to find derivative using the power rule

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Classical Mechanics - 25.1 Force is the Derivative of Potential

Original content provided under Creative Commons License.
MIT 8.01Classical Mechanics, Fall 2016
View the complete course: http://ocw.mit.edu/8-01F16
Instructor: Dr. Peter Dourmashkin
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Ehrenfest Theorem shows how quantum mechanical principles relate to Newton's Second Law of motion, one of the fundamental cornerstones of Classical Physics. If Quantum mechanics is a more general theory, then classical physics must be a special case of Quantum Physics; in the same way that Classical Physics is a special case of relativistic mechanics for low velocities compared to the speed of light. Erhenfest Theorem gives the relationship between the time derivative of expectation values of momentum and the expectation values of the negative gradient of potential, which is basically the average of forces experienced by the particle. So, quantum mechanics is applicable to the classical world as it is to the microscopic world, although we need not invoke the Schrodinger's equation every time we study the trajectory of a particle since that would be unnecessary as classical physics provides quite an accurate prediction in this domain. Here I attempt to derive the Erhenfest Theorem related to the time derivative of momentum, from the Schrodinger's equation.
Forward your questions here: http://www.8physics.com/
Support this channel on Patreon: https://www.patreon.com/dibyajyotidas

1:07:38

What is General Relativity? Lesson 9: Parallelism and the Covariant Derivative

What is General Relativity? Lesson 9: Parallelism and the Covariant Derivative
This lesso...

The Ballistic Missile and SAC 1959 US Air Force Strategic Air Command

more at http://quickfound.net/links/military_news_and_links.html
On how the introduction of IntercontinentalBallistic Missiles (ICBMs) and the Atlas ICBM in particular will affect the Strategic Air Command.
This video has a problem with flickering, but was posted anyway due to the interesting content.
Public domain film from the Prelinger Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and mild video noise reduction applied.
The soundtrack was also processed with volume normalization, noise reduction, clipping reduction, and/or equalization (the resulting sound, though not perfect, is far less noisy than the original).
http://creativecommons.org/licenses/by-sa/3.0/
http://en.wikipedia.org/wiki/Intercontinental_ballistic_missile
An intercontinental ballistic missile (ICBM) is a ballistic missile with a minimum range of more than 5,500 kilometres (3,400 mi) primarily designed for nuclear weapons delivery (delivering one or more nuclear warheads). Similarly conventional, chemical and biological weapons can also be delivered with varying effectiveness. Most modern designs support multiple independently targetable reentry vehicles (MIRVs), allowing a single missile to carry several warheads, each of which can strike a different target.
Early ICBMs had limited accuracy that allowed them to be used only against the largest targets such as cities. They were seen as a "safe" basing option, one that would keep the deterrent force close to home where it would be difficult to attack. Attacks against military targets, if desired, still demanded the use of a manned bomber. Second and third generation designs dramatically improved accuracy to the point where even the smallest point targets can be successfully attacked.
ICBMs are differentiated by having greater range and speed than other ballistic missiles: intermediate-range ballistic missiles (IRBMs), medium-range ballistic missiles (MRBMs), short-range ballistic missiles (SRBMs)—these shorter range ballistic missiles are known collectively as theatre ballistic missiles...
In the immediate post-war era, the US and USSR both started rocket research programs based on the German wartime designs, especially the V-2. In the US, each branch of the military started its own programs, leading to considerable duplication of effort. In the USSR, rocket research was centrally organized, although several teams worked on different designs. Early designs from both countries were short-range missiles, like the V-2, but improvements quickly followed.
In the USSR early development was focused on missiles able to attack European targets. This changed in 1953 when Sergei Korolyov was directed to start development of a true ICBM able to deliver newly developed hydrogen bombs. Given steady funding throughout, the R-7 developed with some speed. The first launch took place on 15 May 1957 and led to an unintended crash 400 km (250 mi) from the site. The first successful test followed on 21 August 1957; the R-7 flew over 6,000 km (3,700 mi) and became the world's first ICBM.[4] The first strategic-missile unit became operational on 9 February1959 at Plesetsk in north-west Russia.
It was the same R-7 launch vehicle that placed the first artificial satellite in space, Sputnik, on 4 October 1957. The first human spaceflight in history was accomplished on a derivative of R-7, Vostok, on 12 April 1961, by Soviet cosmonaut Yuri Gagarin. A deeply modernized version of the R-7 is still used as the launch vehicle for the Soviet/RussianSoyuz spacecraft, marking more than 50 years of operational history of Sergei Korolyov's original rocket design.
The U.S. initiated ICBM research in 1946 with the MX-774 project. This was a three-stage effort with the ICBM development not starting until the third stage. However, funding was cut after only three partially successful launches in 1948 of the second stage design, used to test variations on the V-2 design. With overwhelming air superiority and truly intercontinental bombers, the newly forming US Air Force did not take the problem of ICBM development seriously. Things changed in 1953 with the Soviet testing of their first hydrogen bomb, but it was not until 1954 that the Atlas missile program was given the highest national priority. The Atlas A first flew on 11 June 1957; the flight lasted only about 24 seconds before the rocket blew up. The first successful flight of an Atlas missile to full range occurred 28 November1958. The first armed version of the Atlas, the Atlas D, was declared operational in January 1959 at Vandenberg, although it had not yet flown. The first test flight was carried out on 9 July 1959, and the missile was accepted for service on 1 September.
The R-7 and Atlas each required a large launch facility, making them vulnerable to attack, and could not be kept in a ready state...
These early ICBMs also formed the basis of many space launch systems...

28:31

Infantry Weapons and Their Effects 1943 US Army; World War II Weaponry

NEW VERSION with improved sound: https://www.youtube.com/watch?v=LQnvksRdHFg
US Army Trai...

Infantry Weapons and Their Effects 1943 US Army; World War II Weaponry

NEWVERSION with improved sound: https://www.youtube.com/watch?v=LQnvksRdHFg
US ArmyTrainingFilm playlist: https://www.youtube.com/playlist?list=PL0C7C6CCF1C0DEBB3
more at http://quickfound.net/links/military_news_and_links.html
"This training film shows virtually all the weapons and ammunition used by the US Army in WWII and how they are being used most efficiently."
US Army Training Film TF7-1266
completely different 1953 film with same title:
https://www.youtube.com/watch?v=nfjX847FBlU
Public domain film from the US National Archives, slightly cropped to remove uneven edges, with the aspect ratio corrected, and one-pass brightness-contrast-color correction & mild video noise reduction applied.
The soundtrack was also processed with volume normalization, noise reduction, clipping reduction, and/or equalization (the resulting sound, though not perfect, is far less noisy than the original).
http://creativecommons.org/licenses/by-sa/3.0/
https://en.wikipedia.org/wiki/M1911_pistol
The M1911 is a single-action, semi-automatic, magazine-fed, recoil-operated pistol chambered for the .45ACP cartridge. It served as the standard-issue sidearm for the United States Armed Forces from 1911 to 1986. It was first used in later stages of the Philippine-American War, and was widely used in World War I, World War II, the Korean War, and the Vietnam War. The pistol's formal designation as of 1940 was AutomaticPistol, Caliber .45, M1911 for the original model of 1911 or Automatic Pistol, Caliber .45, M1911A1 for the M1911A1, adopted in 1924. The designation changed to Pistol, Caliber .45, Automatic, M1911A1 in the Vietnam era.
In total, the U.S. procured around 2.7 million M1911 and M1911A1 pistols in military contracts during its service life. The M1911 was replaced by the 9mm BerettaM9 pistol as the standard U.S. sidearm in October 1986, but due to its popularity among users, it has not been completely phased out. Modernized derivative variants of the M1911 are still in use by some units of the U.S. ArmySpecial Forces, the U.S. Navy and U.S. MarineCorps.
Designed by John Browning, the M1911 is the best-known of his designs to use the short recoil principle in its basic design. The pistol was widely copied, and this operating system rose to become the preeminent type of the 20th century and of nearly all modern centerfire pistols. It is popular with civilian shooters in competitive events such as USPSA, IDPA, International Practical Shooting Confederation, and Bullseye shooting. Compact variants are popular civilian concealed carry weapons, because of the design's relatively slim width and the power of the .45 ACP cartridge...
https://en.wikipedia.org/wiki/M3_submachine_gun
The M3 was an American .45-caliber submachine gun adopted for U.S. Army service on 12 December1942, as the United StatesSubmachine Gun, Cal. .45, M3. The M3 was chambered for the same .45 round fired by the Thompson submachine gun, but was cheaper to produce, lighter, and more accurate. The M3 was commonly referred to as the "Grease Gun" or simply "the Greaser," owing to its visual similarity to a mechanic's grease gun.
Intended as a replacement for the .45-caliber Thompson series of submachine guns, the M3 and its improved successor, the M3A1 began to replace the Thompson in first-line service in late 1944 and early 1945. Due to delays caused by production issues and approved specification changes, the M3/M3A1 saw relatively little combat use in World War II...
https://en.wikipedia.org/wiki/M1_carbine
The M1 carbine (formally the United States Carbine, Caliber .30, M1) is a lightweight .30 caliber semi-automatic carbine that became a standard firearm for the U.S. military during World War II, the Korean War and the Vietnam War, and was produced in several variants. Easy to use, it was widely used by U.S. and foreign military, paramilitary and police forces, and has also been a popular civilian firearm.
In selective-fire versions capable of fully automatic firing, the carbine is designated the M2 carbine. The M3 carbine was an M1 or M2 with an active infrared scope system. Unlike conventional carbines, which are generally shorter-barreled versions of a longer parent rifle (like the earlier .30-40 U.S. Krag rifle and carbine and the later M16 rifle and M4 carbine), the M1 carbine has only one minor part in common with the unrelated larger M1 Garand, a short buttplate screw, and fires a different cartridge...

23:31

Definition of the Derivative

This calculus video tutorial provides a basic introduction into the definition of the deri...

Definition of the Derivative

This calculus video tutorial provides a basic introduction into the definition of the derivative formula in the form of a difference quotient with limits. It explains how to find the derivative of a function using the limit process. This video contains plenty of examples and practice problems.
Here is a list of topics:
1. Derivative of x^2
2. Derivative of rational functions - 1/x
3. Derivative of radical functions - square root of x
4. Derivative of linear functions
5. Derivative of polynomial functions
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

1:09:47

14. Maxwell's Equations and Electromagnetic Waves I

For more information about Professor Shankar's book based on the lectures from this course...

14. Maxwell's Equations and Electromagnetic Waves I

For more information about ProfessorShankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.
Fundamentals of Physics, II (PHYS 201)
Waves on a string are reviewed and the general solution to the wave equation is described. Maxwell's equations in their final form are written down and then considered in free space, away from charges and currents. It is shown how to verify that a given set of fields obeys Maxwell's equations by considering them on infinitesimal cubes and loops. A simple form of the solutions is assumed and the parameters therein fitted using Maxwell's equations. The wave equation follows, along with the wave speed equal to that of light (3 x 10^8), suggesting (correctly) that light is an electromagnetic wave. The vector relationship between the electric field, the magnetic field and the direction of wave propagation is described.
00:00 - Chapter 1. Background
04:43 - Chapter 2. Review of Wave Equation
20:01 - Chapter 3. Maxwell's Equations
56:47 - Chapter 4. Light as an Electromagnetic WaveComplete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses
This course was recorded in Spring2010.
For more information about Professor Shankar's book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics, visit http://bit.ly/1jFIqNu.

48:56

What is General Relativity? Lesson 10: CFREE notation and the covariant derivative

The first lesson in a series on CFREE notation.
Note: I stated that our metric convention...

What is General Relativity? Lesson 10: CFREE notat...

Maxwell's Equations - Basic derivation...

It turns out that a theory explaining how we might detect parallel universes and prediction for the end of the world was proposed and completed by physicist Stephen Hawking shortly before he died ... &nbsp;. According to reports, the work predicts that the universe would eventually end when stars run out of energy ... ....

Article by WN.Com Correspondent Dallas DarlingIt wasn’t very long ago Republicans were accusing Democrats of either paying a few dollars to the homeless for votes or giving them a pack of cigarettes. But with Donald Trump, it’s obvious he paid $130,000 to an adult-film star in exchange for her silence last October and just before the general election ... Was the payment from his own account – or from a lawyer – or from campaign donations....

Using e-cigarettes may lead to an accumulation of fat in the liver, a study of mice exposed to the devices suggests. “The popularity of electronic cigarettes has been rapidly increasing in part because of advertisements that they are safer than conventional cigarettes ... Friedman of Charles R. Drew University of Medicine and Science in Los Angeles, California ... Circadian rhythm dysfunction is known to accelerate liver disease....

Waste-Derived Biogas Market 2018 Waste-Derived Biogas Market 2018. Wiseguyreports.Com Adds “Waste-Derived Biogas – Global Market Demand, Growth, Opportunities, Manufacturers, Analysis of Top Key Players and Forecast to 2023” To Its Research Database ... In a word, this report will help you to establish a panorama of industrial development and characteristics of the Waste-Derived Biogas market ... 1.2Definition of Waste-Derived Biogas....